Answered question

2022-04-28

Answer & Explanation

alenahelenash

alenahelenash

Expert2023-05-02Added 556 answers

The volume of the fish tank can be found by multiplying the area of the base by the height. The hexagonal base has six congruent equilateral triangles with side length 18 inches. The formula for the area of an equilateral triangle with side length s is:
A=34s2
So the area of each triangle is:
Atri=34(18in)2=813in2
The total area of the base is six times the area of one triangle, so:
Abase=6Atri=4863in2
The height of the tank is 3 feet, which is equal to 36 inches. Therefore, the volume of the tank in cubic inches is:
V=Abase·h=4863in2·36in=62,348.6in3
To convert cubic inches to gallons, we divide by the conversion factor of 231 cubic inches per gallon:
62,348.6in3231in3/gal269.7 gal
Rounding to the nearest gallon, the tank holds approximately 270 gallons of water.

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